Please Help !!!
Identify the oblique asymptote of f(x) = quantity 2 x squared plus 3 x plus 8 over quantity x plus 3
y = 2x - 3
y = 2x + 9
y = 0
No oblique asymptote
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OpenStudy (anonymous):
@helpme1.2
OpenStudy (anonymous):
@abb0t
OpenStudy (anonymous):
@SolomonZelman
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@agent0smith
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@jdoe0001
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OpenStudy (anonymous):
@zepdrix
OpenStudy (anonymous):
@kelliegirl33
OpenStudy (anonymous):
@Compassionate
OpenStudy (anonymous):
@beccaboo333
OpenStudy (anonymous):
@Loser66
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OpenStudy (beccaboo333):
Sorry I can't really help you here. Try posting the link to this in the chats?
OpenStudy (anonymous):
divide
OpenStudy (anonymous):
you will get a quotient and a remainder
ignore the remainder, the quotient is the slant asympote
OpenStudy (anonymous):
huh ? i don't get it, i'm completely lost. @satellite73
OpenStudy (anonymous):
you know what i mean by "divide"
we can do it if you like
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OpenStudy (anonymous):
ok can you walk me through
OpenStudy (anonymous):
\[\frac{2x^2+3x+3}{x+8}\] right?
OpenStudy (anonymous):
it is hard to write division here
do you know how to do synthetic division? that is much easier
OpenStudy (anonymous):
not quite, its 2x^2 + 3x+8 over x + 3
OpenStudy (anonymous):
\[\frac{2x^2+3x+8}{x+3}\]
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OpenStudy (anonymous):
yes
OpenStudy (anonymous):
you know synthetic division?
OpenStudy (anonymous):
no, I''m not very good at math. and they make us use calculators in schools here
OpenStudy (anonymous):
2 3 8
-3
___________
OpenStudy (anonymous):
bring down the 2
2 3 8
-3
_____________
2
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OpenStudy (anonymous):
then \(-3\times 2=-6)
2 3 8
-3 -6
_____________
2
OpenStudy (anonymous):
add
2 3 8
-3 -6
_____________
2 -3
OpenStudy (anonymous):
we can actually stop right there
the bottom line 2 , -3 means the quotient is \(2x-3\) and your slant asymptote is
\[y=2x-3\]
OpenStudy (anonymous):
there is a remainder, but you can ignore it for the slant asymptote
if you don't do it this way you have to do long division
x + 3 |2x^2 + 3 +8 etc
can't really write it in this format
OpenStudy (anonymous):
hmm, so it's A ?
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OpenStudy (anonymous):
i have no idea what A is
but i am pretty sure it is \(y=2x-3\)